SOME REMARKS ON THE ORDER SUPERGRAPH OF THE POWER GRAPH OF A FINITE GROUP

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2019-07-11 DOI:10.24330/IEJA.586838

A. Hamzeh, A. Ashrafi

引用次数: 3

Abstract

Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x)|o(y) or o(y)|o(x). In an earlier paper, the main properties of this graph was obtained. The aim of this paper is to investigate the Hamiltonianity, Eulerianness and 2-connectedness of this graph.

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有限群幂图的阶超图的若干注释

设G是一个有限群。主超图S(G)是一个顶点集G的图，其中两个顶点x和y相邻当且仅当o(x)|o(y)或o(y)|o(x)。在以前的一篇文章中，我们得到了这个图的主要性质。本文的目的是研究该图的哈密顿性、欧拉性和2连通性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.